BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Katharina Hübner (Heidelberg) DTSTART:20201021T160000Z DTEND:20201021T170000Z DTSTAMP:20260404T111107Z UID:EmmyKolloq/1 DESCRIPTION:Title: Logarithmic Differentials on Adic Spaces\nby Katharina Hübn er (Heidelberg) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nTh e object of interest in this talk is a certain subsheaf $\\Omega^+_X$ of t he sheaf of differentials $\\Omega_X$ of a discretely ringed adic space $ X$ over a field $k$. The first part will be dedicated to an introduction t o discretely ringed adic spaces. We will then define $\\Omega^+_X$ using K \\"ahler seminorms and establish a relation with logarithmic differentials . Finally we study the case where $X = Spa(U\,Y)$ for a scheme $Y$ over $k $ and a subscheme $U$ such that the corresponding log structure on $Y$ is log smooth. It turns out that $\\Omega^+_X(X)$ equals $\\Omega^{log}_{(U\ ,Y)}(U\,Y)$.\n LOCATION:https://stable.researchseminars.org/talk/EmmyKolloq/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Ziming Ma (CUHK) DTSTART:20210512T070000Z DTEND:20210512T080000Z DTSTAMP:20260404T111107Z UID:EmmyKolloq/2 DESCRIPTION:Title: SYZ Mirror Symmetry and Maurer-Cartan equation\nby Ziming Ma (CUHK) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe Stromi nger-Yau-Zaslow conjecture for understanding Mirror Symmetry geometrically \, leads to the Fukaya’s conjectural reconstruction of mirror manifolds which solves Maurer-Cartan equation near large limits using quantum correc tions. In this talk\, we will discuss progesses of the Fukaya’sconjectur e and the formulation of the Maurer-Cartan equation near largestructure li mits by constructing a dgBV algebra $PV^∗(X)$\, a generalized version of the Kodaira–Spencer dgLa\, associated to possibly degenerate Calabi–Y au variety equipped with local thickening data. This talk is based onjoint works with Kwokwai Chan\, Conan Leung and Yat-Hin Suen.\n LOCATION:https://stable.researchseminars.org/talk/EmmyKolloq/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Taro Sano (Kobe University) DTSTART:20210519T063000Z DTEND:20210519T073000Z DTSTAMP:20260404T111107Z UID:EmmyKolloq/4 DESCRIPTION:Title: Construction of non-Kähler Calabi-Yau manifolds by log deformat ions\nby Taro Sano (Kobe University) as part of Emmy Noether Kolloquiu m Mainz\n\n\nAbstract\nCalabi-Yau manifolds (in the strict sense) form an important\nclass in the classification of algebraic varieties. One can als o\nconsider its generalisation by removing the projectivity assumption.\nC lemens and Friedman constructed infinitely many topological types of\nnon- Kähler Calabi-Yau 3-folds whose 2nd Betti numbers are zero.\nIn this talk \, I will present examples of non-Kähler Calabi-Yau\nmanifolds with arbit rarily large 2nd Betti numbers. The construction\nis by smoothing normal c rossing varieties.\nThe key tools of the construction are some isomorphism s between\ngeneral rational elliptic surfaces which induce isomorphisms be tween\nCalabi-Yau manifolds of Schoen type.\n LOCATION:https://stable.researchseminars.org/talk/EmmyKolloq/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Yuto Yamamoto (IBS Center for Geometry and Physics) DTSTART:20210526T070000Z DTEND:20210526T080000Z DTSTAMP:20260404T111107Z UID:EmmyKolloq/5 DESCRIPTION:Title: Tropical contractions to integral affine manifolds with singular ities\nby Yuto Yamamoto (IBS Center for Geometry and Physics) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nWe construct contraction m aps from tropical Calabi--Yau varieties to the integral affine manifolds w ith singularities that arise as the dual intersection complexes of toric d egenerations of Calabi--Yau varieties in the Gross--Siebert program. We sh ow that the contractions preserve tropical cohomology groups\, and send th e eigenwaves to the radiance obstructions. As an application\, we also pro ve the Poincaré--Verdier duality for integral affine manifolds with singu larities.\n LOCATION:https://stable.researchseminars.org/talk/EmmyKolloq/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Taro Fujisawa (Tokyo Denki University) DTSTART:20210609T070000Z DTEND:20210609T080000Z DTSTAMP:20260404T111107Z UID:EmmyKolloq/6 DESCRIPTION:Title: Geometric polarized log Hodge structures on the standard log poi nt\nby Taro Fujisawa (Tokyo Denki University) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nI will talk about the following fact: a pr ojective vertical exact log smooth morphism over the standard log point yi elds polarized log Hodge structures on the base. In the proof of this fact \, the case of a strict log deformation is essential. So\, I will mainly t alk about this case\, and explain how to relate my previous results on the mixed Hodge structures to log Hodge structures for a projective strict lo g deformation. If the time remained\, I will discuss a generalization to t he case of a general base point. This talk is based on a joint work with C . Nakayama.\n LOCATION:https://stable.researchseminars.org/talk/EmmyKolloq/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Pieter Belmans (Univ. Bonn) DTSTART:20210615T150000Z DTEND:20210615T160000Z DTSTAMP:20260404T111107Z UID:EmmyKolloq/7 DESCRIPTION:Title: Hochschild cohomology of Fano 3-folds\nby Pieter Belmans (Un iv. Bonn) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe Hoch schild-Kostant-Rosenberg decomposition gives a description of the Hochschi ld cohomology of a smooth projective variety in terms of the sheaf cohomol ogy of exterior powers of the tangent bundle. In all but a few cases it is a non-trivial task to compute this decomposition\, and understand the ext ra algebraic structure which exists on Hochschild cohomology. I will give a general introduction to Hochschild cohomology and this decomposition\, a nd explain what it looks like for Fano 3-folds (joint work with Enrico Fat ighenti and Fabio Tanturri)\, and time permitting also for partial flag va rieties (joint work with Maxim Smirnov).\n LOCATION:https://stable.researchseminars.org/talk/EmmyKolloq/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Wei Hong (Wuhan University) DTSTART:20210623T070000Z DTEND:20210623T080000Z DTSTAMP:20260404T111107Z UID:EmmyKolloq/8 DESCRIPTION:Title: BV operators of the Gerstenhaber algebras of holomorphic polyvec tor fields on toric varieties\nby Wei Hong (Wuhan University) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe vector space of holomo rphic polyvector fields on any complex manifold has a\nnatural Gerstenhabe r algebra structure. In this paper\, we study BV operators of the Gersten- \nhaber algebras of holomorphic polyvector fields on smooth compact toric varieties. We give a\nnecessary and sufficient condition for the existence of BV operators of the Gerstenhaber algebra\nof holomorphic polyvector fi elds on any smooth compact toric variety.\n LOCATION:https://stable.researchseminars.org/talk/EmmyKolloq/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Benjamin Gammage (Harvard) DTSTART:20210720T150000Z DTEND:20210720T160000Z DTSTAMP:20260404T111107Z UID:EmmyKolloq/9 DESCRIPTION:Title: Homological mirror symmetry over the SYZ base\nby Benjamin G ammage (Harvard) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nT he Gross-Siebert program suggests that mirror symmetry is mediated by the combinatorial data of a dual pair of integral affine manifolds with singul arities and polyhedral decomposition. Much is now understood about the pas sage from the combinatorial data to complex spaces "near the large complex structure limit" -- a toric degeneration and its smoothing. In this talk\ , we discuss the mirror procedure for moving from the combinatorial data t o symplectic spaces "near the large volume limit" -- a Weinstein symplecti c manifold and its compactification -- and we will explain a proof of homo logical mirror symmetry between the complex and symplectic manifold associ ated to local pieces of the combinatorial data. This is part of a program with Vivek Shende to prove homological mirror symmetry globally over the S YZ base.\n LOCATION:https://stable.researchseminars.org/talk/EmmyKolloq/9/ END:VEVENT END:VCALENDAR